Guenther, Silke ; Oberlack, Martin (2005)
Modeling of the pressure-strain and diffusion-term in rotatiang flows.
ITi Conference on Turbulence. Bad Zwischenahn (21.09.2003-24.09.2003)
doi: 10.1007/3-540-27401-4_19
Conference or Workshop Item, Bibliographie
Abstract
We reconsider the problem of shear free turbulent diffusion in a rotating frame, rotating about x1. Therefore turbulence is generated at a vibrating grid in the x2 − x3 plane and diffuses away from the grid in x1-direction. The flow geometry is given in figure 1. An important property of this flow is that there is no mean flow-velocity. With the help of Lie-group methods Reynoldsstress transport models can be analyzed for this kind of flow in a rotating frame. From the analysis it can be found that the turbulent diffusion only influences a finite domain. Insertion of this solution in the model equations shows that even fully nonlinear Reynolds-stress transport models (nonlinear in the Reynolds-stresses for the pressure-strain model) are insensitive to rotation for this type of flow. To improve this serious shortcoming of these models, a new model equation which is fully nonlinear in the mean-velocity gradient is needed. There appears to be one one-point model which may account for system rotation for this type of flow. It is the second-moment closure model by Sj¨ogren and Johansson [3] which is nonlinear in the mean-velocity gradient. Therefore new model equations for the pressure-strain-correlation and the diffusion term have been developed along the lines of this model.
| Item Type: | Conference or Workshop Item |
|---|---|
| Erschienen: | 2005 |
| Creators: | Guenther, Silke ; Oberlack, Martin |
| Type of entry: | Bibliographie |
| Title: | Modeling of the pressure-strain and diffusion-term in rotatiang flows |
| Language: | English |
| Date: | 2005 |
| Place of Publication: | Berlin |
| Publisher: | Springer |
| Book Title: | Progress in turbulence : with 10 tables |
| Series: | Springer proceedings in physics |
| Series Volume: | 101 |
| Event Title: | ITi Conference on Turbulence |
| Event Location: | Bad Zwischenahn |
| Event Dates: | 21.09.2003-24.09.2003 |
| DOI: | 10.1007/3-540-27401-4_19 |
| Corresponding Links: | |
| Abstract: | We reconsider the problem of shear free turbulent diffusion in a rotating frame, rotating about x1. Therefore turbulence is generated at a vibrating grid in the x2 − x3 plane and diffuses away from the grid in x1-direction. The flow geometry is given in figure 1. An important property of this flow is that there is no mean flow-velocity. With the help of Lie-group methods Reynoldsstress transport models can be analyzed for this kind of flow in a rotating frame. From the analysis it can be found that the turbulent diffusion only influences a finite domain. Insertion of this solution in the model equations shows that even fully nonlinear Reynolds-stress transport models (nonlinear in the Reynolds-stresses for the pressure-strain model) are insensitive to rotation for this type of flow. To improve this serious shortcoming of these models, a new model equation which is fully nonlinear in the mean-velocity gradient is needed. There appears to be one one-point model which may account for system rotation for this type of flow. It is the second-moment closure model by Sj¨ogren and Johansson [3] which is nonlinear in the mean-velocity gradient. Therefore new model equations for the pressure-strain-correlation and the diffusion term have been developed along the lines of this model. |
| Divisions: | 16 Department of Mechanical Engineering 16 Department of Mechanical Engineering > Fluid Dynamics (fdy) |
| Date Deposited: | 20 Nov 2008 08:26 |
| Last Modified: | 15 Nov 2024 08:07 |
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